Talk:Field extension

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Bases containing 1

Given a finite extension L/K, can a basis of L over K always be chosen to contain 1? I think so, because one can simply choose any element x from the basis and multiply all of the elements from the basis by x^-1. GeoffreyT2000 (talk) 21:39, 24 May 2015 (UTC)[reply]

Introduction does not define or describe field extension

but extension fields — Preceding unsigned comment added by 134.101.128.146 (talk) 15:21, 20 September 2018 (UTC)[reply]

Good point. Fixed. D.Lazard (talk) 16:51, 20 September 2018 (UTC)[reply]

"Purely transcendental extension" listed at Redirects for discussion

An editor has identified a potential problem with the redirect Purely transcendental extension and has thus listed it for discussion. This discussion will occur at Wikipedia:Redirects for discussion/Log/2022 June 10#Purely transcendental extension until a consensus is reached, and readers of this page are welcome to contribute to the discussion. 1234qwer 1234qwer 4 10:47, 10 June 2022 (UTC)[reply]

Move discussion in progress

There is a move discussion in progress on Talk:Transcendence degree which affects this page. Please participate on that page and not in this talk page section. Thank you. —RMCD bot 06:31, 18 March 2023 (UTC)[reply]

"Trivial extension" listed at Redirects for discussion

The redirect Trivial extension has been listed at redirects for discussion to determine whether its use and function meets the redirect guidelines. Readers of this page are welcome to comment on this redirect at Wikipedia:Redirects for discussion/Log/2023 December 8 § Trivial extension until a consensus is reached. 1234qwer 1234qwer 4 23:53, 8 December 2023 (UTC)[reply]